On Maps Preserving Zero Jordan Products |
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| Authors: | Mikhail A. Chebotar Wen-Fong Ke Pjek-Hwee Lee Ruibin Zhang |
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| Affiliation: | (1) Southern Taiwan University of Technology, Yung-Kang, Taiwan;(2) National Cheng Kung University, Tainan, Taiwan;(3) National Taiwan University, Taipei, Taiwan;(4) University of Sydney, Australia |
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| Abstract: | Let R be a ring, A = M n (R) and θ: A → A a surjective additive map preserving zero Jordan products, i.e. if x,y ∈ A are such that xy + yx = 0, then θ(x)θ(y) + θ(y)θ(x) = 0. In this paper, we show that if R contains  and n ≥ 4, then θ = λϕ, where λ = θ(1) is a central element of A and ϕ: A → A is a Jordan homomorphism. The third author is Corresponding author. |
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| Keywords: | 2000 Mathematics Subject Classification: 15A04 47B49 |
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